A 10 W lamp operates continuously for one minute. How much energy (in joules) does it dissipate during that time interval?

Introduction / Context:Power quantifies the rate at which energy is used or converted, while energy measures the total amount consumed over time. Converting between power (watts) and energy (joules) is a fundamental calculation in electrical engineering and physics.

Given Data / Assumptions:

• Lamp power P = 10 W (that is, 10 joules per second).
• Operating time t = 1 minute = 60 seconds.
• Assume constant power during the interval.

Concept / Approach:Energy E is the time integral of power. For constant power, E = P * t. Units: 1 W = 1 J/s, so multiplying by seconds gives joules directly. This simple relation underpins energy billing (e.g., kilowatt-hours) and battery capacity calculations when adapted to appropriate units.

Step-by-Step Solution:Identify P = 10 W and t = 60 s.Compute energy: E = P * t = 10 * 60 = 600 J.Therefore, the lamp dissipates 600 joules in one minute.

Verification / Alternative check:Convert to watt-hours for intuition: 10 W for 1 minute is (10 W) * (1/60 h) = 0.1667 Wh. Convert Wh to joules using 1 Wh = 3600 J → 0.1667 * 3600 ≈ 600 J, confirming the result.

Why Other Options Are Wrong:

• 10 joules: That would be the energy after only 1 second at 10 W.
• 60 joules: Corresponds to 10 W for 6 seconds.
• 3600 joules: That would be 10 W for 360 seconds (6 minutes) or 1 W for 1 hour.

Common Pitfalls:

• Mistaking minutes for seconds; always convert time to seconds when using SI units.
• Confusing power (rate) with energy (total amount).

Final Answer:600 joules